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Admen Multi-Studios - SUBJECT
1
2
In same time (previous question) distance moved by swimmer w.r.t.
L UV
earth will be
V2  U2
A swimmer starts time taken by
y
swimming towards P swimmer is 5 sec
but due to river flow it
Q
P
reaches point Q.
vriver-earth = 5 m/s, v
swimmwe-river = 5 m/s
d

d = 10 metre. Choose
the correct option(s).
The diagram shows a car of length L and a train of length 5L both start
moving towards right with accelerations 2A (Car) and A(Train). Time
taken by the car to overtake the train is
L
CAR
LV
VU
the horizontal drift
PQ = 25 m
L (V  U)
L (V  U)
U
V
velocity
of it is not possible
swimmer
w.r.t. to reach point P.
earth is 29 m / s.
C
ABD
x
O
3
D:\146992543.doc
10 L
A
2
3L
A
14L
A
None of these
B
( m 1  2m 2 )g  F
m1  m 2
A
Mm

 (sin 
 m 
 cos) g  a 
Mm

 (sin 
 m 
 cos) g
D
5L
TRAIN
4
(m1  m 2 )g  F
m1  m 2
A massless string thrown over a stationary pulley is passed
through a slit. As the string moves it is acted upon by a
constant friction force F on the side of the slit. The ends of
the string carry the masses m1 and m2 (m1 > m2). Find the
acceleration of each block.
(m1  m 2 )2g  F
m1  m 2
(m1  m 2 )g  F
2m1  m 2
m2
m1
5
A monkey of mass m runs down a log of
mass M placed on a rough inclined, such
that the log does not slip on the incline. If
the coefficient of friction between log and
incline is s. Find the range of acceleration
to satisfy the condition of the problem.
m2
m1

Mm

 (sin  
 m 
Mm
cos)2g  a  

 m 
(sin   cos) g
Mm
Mm

 (2sin  
 (sin +
 m 
 m 
 cos) g  a 
 cos) g  a 
Mm
Mm

 (4sin

 (sin 
 m 
 m 
  cos) g
 cos) g
Admen Multi-Studios - SUBJECT
6
7
8
9
10
A block A of
mass m1 rests on a rough
horizontal
surface. The coefficient
B
m
2
of
friction
between the block and
A
the surface is
. A uniform plank B of
m1
mass m2 rests
on A. B is prevented
from moving
by connecting it to a
m
3
light rod. The
coefficient of friction
C
between
A
and B is . Find the
acceleration of blocks A and C.
A plank is
held at an
angle  to the

horizontal as
A
shown
in
figure by two
supports A and B. The plank can slide against the supports (without
friction) because of its weight Mg. With what acceleration and in what
direction should a man of mass m should move so that the plank may
mot move.
On a smooth horizontal surface a
block of mass m is attached with
k
F
a spring as shown in the figure.
m
Now a constant horizontal force F
starts acting on block towards
wall. Initially spring is in relaxed
stage. Maximum compression in the spring will be
Maximum velocity of block during the motion will be
Time taken by the block from relaxed state to maximum compression
will be
D:\146992543.doc
[2m3 +  (2m2 +
m1)/m1+m2]g
[m3 -  (2m2 +
m1)/m1+m2]g
[m3 -  (2m2 +
m1)/2m1+m2]g
[m3 -  (2m2 +
m1)/m1+m2]g
B
g sin (2+ M/m)
g sin (1 + M/m)
g sin (2 + M/m)
g sin (4 + M/m)
B
F/2k
mg/k
mg/2k
2F/k
D
vmax . 

m
k
F
mk
vmax . 
2
m
k
F
2mk
vmax .  g

2
m
k
m
k
vmax .  F

4
m
k
2
mk
A
A